Euler Equations Related to the Generalized Neveu-Schwarz Algebra
In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of some well-known integrable systems including the coupled KdV equation, the 2-c...
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| Дата: | 2013 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2013
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/149205 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Euler Equations Related to the Generalized Neveu-Schwarz Algebra / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 39 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-149205 |
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dspace |
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irk-123456789-1492052019-02-20T01:25:45Z Euler Equations Related to the Generalized Neveu-Schwarz Algebra Zuo, D. In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of some well-known integrable systems including the coupled KdV equation, the 2-component Camassa-Holm equation and the 2-component Hunter-Saxton equation. To our knowledge, most of them are new. 2013 Article Euler Equations Related to the Generalized Neveu-Schwarz Algebra / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 39 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 37K10; 35Q51 DOI: http://dx.doi.org/10.3842/SIGMA.2013.045 http://dspace.nbuv.gov.ua/handle/123456789/149205 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
In this paper, we study supersymmetric or bi-superhamiltonian Euler equations related to the generalized Neveu-Schwarz algebra. As an application, we obtain several supersymmetric or bi-superhamiltonian generalizations of some well-known integrable systems including the coupled KdV equation, the 2-component Camassa-Holm equation and the 2-component Hunter-Saxton equation. To our knowledge, most of them are new. |
| format |
Article |
| author |
Zuo, D. |
| spellingShingle |
Zuo, D. Euler Equations Related to the Generalized Neveu-Schwarz Algebra Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Zuo, D. |
| author_sort |
Zuo, D. |
| title |
Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_short |
Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_full |
Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_fullStr |
Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_full_unstemmed |
Euler Equations Related to the Generalized Neveu-Schwarz Algebra |
| title_sort |
euler equations related to the generalized neveu-schwarz algebra |
| publisher |
Інститут математики НАН України |
| publishDate |
2013 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/149205 |
| citation_txt |
Euler Equations Related to the Generalized Neveu-Schwarz Algebra / D. Zuo // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 39 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
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AT zuod eulerequationsrelatedtothegeneralizedneveuschwarzalgebra |
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2023-05-20T17:32:14Z |
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2023-05-20T17:32:14Z |
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